Answer:
x = 16
Step-by-step explanation:
We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:
(Angle 1) + (Angle 2) = 180°
(8x - 10) + (62) = 180°
8x + 52 = 180
8x = 180 - 52
8x = 128
x = 16
Therefore, <u>x = 16</u>
Hope this helps!
Answer:
- increasing: (π/2, 3π/2)
- decreasing: [0, π/2) ∪ (3π/2, 2π]
- minimum: -16 at x=π/2
- maximum: 16 at x=3π/2
Step-by-step explanation:
If all you want are answers to the questions, a graphing calculator can provide them quickly and easily. (see attached)
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If you need an algebraic solution, you need to find the zeros of the derivative.
f'(x) = -16cos(x)sin(x) -16cos(x) = -16cos(x)(sin(x) +1)
The product is zero where the factors are zero, at x=π/2 and x=3π/2.
These are the turning points, where the function changes from decreasing to increasing and vice versa.
(sin(x)+1) is non-negative everywhere, so the sign of the derivative is the opposite of the sign of the cosine function. This tells us the function f(x) is increasing on the interval (π/2, 3π/2), and decreasing elsewhere (except where the derivative is zero).
The function local extrema will be where the derivative is zero, so at f(π/2) (minimum) and f(3π/2) (maximum). We already know that cos(x) is zero there, so the extremes match those of -16sin(x).
3x+2=5x-2
2x=4
x=2 i think is the answer im not sure if i got it right im sorry if i did get it wrong
The problem is using a right triangle, it means we can use the Pythagorean theorem in solving the problem. We have two possible measurements for the third side.
First length, when the third side is the hypotenuse:
x ² = 15² + 12²
x = 19.21
Second possible length, when the third leg is either an adjacent or base side:
15² = x² + 12²
x = 9
Therefore, the difference between the two possible answers are shown below:
Difference = 19.21 - 9 = 10.21
Answer is parallel lines
Reason - same slope (3x) and different y intercept means they will be parallel lines because their slope is the same but they will cross the y axis at different points.
I changed the first equation to y intercept form
y = 3x - 10 to match the other equation
y = 3x - 6